Normalized histogram with gaussian fit
27 views (last 30 days)
Show older comments
Miquel Vega Paredes
on 8 Apr 2021
Commented: Alan Stevens
on 29 Oct 2021
Hi, I know how to make an histogram and make it so it is normalized according to the probability
histogram(x, nbits, 'Normalization','probability')
and also how to fit a gaussian curve to the histogram: histfit (x)
But if I use the command histfit I don't know how to normalize it according to the probability.
I would like to have both, a normalized histogram with the probability, that also has the plot of the gaussian distribution that fits to my data set.
I hope my question is clear and that you can help me :)
0 Comments
Accepted Answer
Alan Stevens
on 8 Apr 2021
Here's an example showing one possibility:
gaussian = @(x, m,s) exp(-0.5*((x-m)/s).^2)/(s*sqrt(2*pi));
mu = 5; % Arbitrary mean
sigma = 1; % arbitrary standard deviation
x = mu + sigma*randn(1,400); % Arbitrary random normal data
h = histogram(x);
dh = h.BinWidth;
lo = min(x);
hi = max(x);
dxx = (hi-lo)/100;
xx = linspace(lo,hi,101);
pdf = gaussian(xx, mu, sigma);
scalefactor = sum(h.Values*dh)/(trapz(pdf)*dxx);
pdf = scalefactor*pdf;
hold on
plot(xx,pdf)
3 Comments
studentmatlaber
on 29 Oct 2021
@Alan Stevens I ran the code you wrote. But shouldn't the normalized histogram be between 0 and 1?
More Answers (0)
See Also
Categories
Find more on Histograms in Help Center and File Exchange
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!